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Finding the Fourth Proportional to 12,428.16, 18,617.62 and 8,048.68

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Solution

The fourth proportional to 12,428.16, 18,617.62 and 8,048.68 is: 12,057.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,428.16 : 18,617.62 = 8,048.68 : x
  2. Step 2: Convert to fraction form
    12,428.16/18,617.62 = 8,048.68/x
  3. Step 3: Cross multiply
    12,428.16x = 18,617.62 × 8,048.68
  4. Step 4: Simplify right side
    12,428.16x = 149,847,265.74
  5. Step 5: Solve for x
    x = 149,847,265.74/12,428.16
  6. Step 6: Final answer
    x = 12,057.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.